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mario62 [17]
3 years ago
13

The dam has 12 pumps that each transfer the same amount of water through pipes from Lake Roosevelt to Banks Lake. Together, the

pumps can transfer about 12,000 gallons of water each second. About how many gallons of water can each pump transfer in 1 second?
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

<u>1,000 gallons</u> of water each pump can transfer in 1 second.

Step-by-step explanation:

Given:

The dam has 12 pumps that each transfer the same amount of water through pipes from Lake Roosevelt to Banks Lake.

Together, the pumps can transfer about 12,000 gallons of water each second.

Now, to find the gallons of water each pump can transfer in 1 second.

Number of pumps the dam has = 12.

Gallons of water all pumps can transfer in 1 second= 12,000.

<em>As given, each pumps transfer the same amount of water through pipes.</em>

Now, to get the gallons of water each pump can transfer in 1 second we divide gallons of water all pumps can transfer in 1 second by the number of pumps the dam has:

\frac{Gallons\ of\ water\ all\ pumps\ can\ transfer\ in\ 1\ second\ }{ Number\ of\ pumps\ the\ dam\ has}

=\frac{12,000}{12}

=1,000\ gallons.

Therefore, 1,000 gallons of water each pump can transfer in 1 second.

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4 0
4 years ago
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7

Therefore,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.

If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
A store has apple on sale for $20.00 for 8 pounds. If an apple is approximately 5 ounces, how manyapples can you buy for $120.00
lubasha [3.4K]

Answer: 24 apples

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4 0
3 years ago
Alguien sabe que pasa con los grados de los polinomios Cúando se multiplican
allochka39001 [22]

respuesta :

eso es un ejemplo aver si te ayuda

explicacion :

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6 0
3 years ago
Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?
snow_lady [41]

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  3(\dfrac{1}{2})^n.

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............

The sum of the series will be given as:

S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)

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Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  3(\dfrac{1}{2})^n

To know more about number series follow

brainly.com/question/6561461

#SPJ1

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2 years ago
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